In a biological experiment, three treatments were randomly selected from alarge population of possible treatments. Then, ten randomly selectedobservation were then obtained from each treatment is selected. Table Q2(b)shows the ANOVA table for the observation.Table Q2 (b): ANOVASource of dfSum of squaresftestMean ofsquares (MS)variation(SS)Treatment 2110.6Error25Total27608.3(1) Complete the ANOVA table in Table Q2(b)(ii) By using a = 0.05, test the null hypothesis in Part (1)(2 marks)(6 marks)

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Answered: In a biological experiment, three…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 28 doors is made, and it is found that they have a mean of 2069millimeters with a variance of 900. Is there evidence at the 0.05 level that the doors are either too long or too short? State the null and alternative hypotheses for the above scenario.
A carpenter is making doors that are 2058 millimeters tall. If the doors are too long they must be trimmed, and if they are too short they cannot be used. A sample of 61 doors is made, and it is found that they have a mean of 2044 millimeters with a variance of 729. Is there evidence at the 0.05 level that the doors are either too long or too short? State the null and alternative hypotheses for the above scenario.
A certain producer of chocolate has some problems with the variability of five suppliers of cocoa. Since the cocoa quality is critical to the final chocolate product, the company has decided to perform a DOE to compare these suppliers. According to experiences with customers, the capacity of detection of any variation is 3.5 units. Estimate the sample size needed to get at least a power of 85%, given that the historical variance of the process is 2.5 units.
A large manufacturing company investigated the service it received from its suppliers and discovered that, in the past, 44% of all material shipments were received late. However, the company recently installed a just-in-time system in which suppliers are linked more closely to the manufacturing process. A random sample of 170 deliveries since the just-in-time system was installed reveals that 34 deliveries were late. If we want to test whether the proportion of late deliveries was reduced signicantly at = 0:01 the null and alternative hypotheses are a. Null hypothesis (H0) b. Alternative hypothesis (HA)
A sample has a minimum value of 7 and a maximum value of 58 .Estimate its variance.
Suppose that the blood pressure for a randomly selected patient has an average of 22 and variance of 441. If a sample of 220 patients is selected, then what is P(-1.2 < X< 1.4) ?
According to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.33.Suppose a random sample of 109 traffic fatalities in a certain region results in 47that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?
A soft-drink dispensing machine is said to beout of control if the variance of the contents exceeds1.15 deciliters. If a random sample of 25 drinks fromthis machine has a variance of 2.03 deciliters, does thisindicate at the 0.05 level of significance that the machine is out of control? Assume that the contents areapproximately normally distributed.
A large manufacturing company investigated the service it received from its suppliers and discovered that, in the past, 41% of all material shipments were received late. However, the company recently installed a just-in-time system in which suppliers are linked more closely to the manufacturing process.A random sample of 150 deliveries since the just-in-time system was installed reveals that 29 deliveries were late. If we want to test whether the proportion of late deliveries was reduced significantly at α = 0.10. Calculate the null and alternative hypothese.
Table 2 gives the output for 8 cropping seasons of Sweet Spring Country Farm that used each of 4 fertilizers. Assume that the outputs with each fertilizer are normally distributed with equal variance. (d) Test the hypothesis that the population means are the same at the 5% level of significance.

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